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Finding the Fourth Proportional to 4,959.84, 7,440.84 and 1,497

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Solution

The fourth proportional to 4,959.84, 7,440.84 and 1,497 is: 2,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.84 : 7,440.84 = 1,497 : x
  2. Step 2: Convert to fraction form
    4,959.84/7,440.84 = 1,497/x
  3. Step 3: Cross multiply
    4,959.84x = 7,440.84 × 1,497
  4. Step 4: Simplify right side
    4,959.84x = 11,138,937.48
  5. Step 5: Solve for x
    x = 11,138,937.48/4,959.84
  6. Step 6: Final answer
    x = 2,245.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.